Published November 2012
| Version Submitted
Journal Article
Open
Kontsevich's noncommutative numerical motives
Creators
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1.
California Institute of Technology
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2.
Massachusetts Institute of Technology
Abstract
In this article we prove that Kontsevich's category NC_(num)(k)_F of noncommutative numerical motives is equivalent to the one constructed by the authors in [Marcolli and Tabuada, Noncommutative motives, numerical equivalence, and semisimplicity, Amer. J. Math., to appear, available at arXiv:1105.2950]. As a consequence, we conclude that NC_(num)(k)_F is abelian semi-simple as conjectured by Kontsevich.
Additional Information
© 2012 Foundation Compositio Mathematica. Received 27 September 2011, accepted in final form 27 April 2012, published online 12 October 2012. The first author was partially supported by the NSF grants DMS-0901221, DMS-1007207 and DMS-1201512. The second author was partially supported by the NEC award 2742738 and by the Portuguese Foundation for Science and Technology through PEst-OE/MAT/UI0297/2011 (CMA). The authors are very grateful to Yuri Manin for stimulating discussions and to the anonymous referees for their comments, corrections and questions, which have greatly improved the article.Attached Files
Submitted - 1108.3785.pdf
Files
1108.3785.pdf
Additional details
Identifiers
- Eprint ID
- 36123
- DOI
- 10.1112/S0010437X12000383
- Resolver ID
- CaltechAUTHORS:20130102-141740985
Related works
- Describes
- 10.1112/S0010437X12000383 (DOI)
- https://arxiv.org/abs/1108.3785 (URL)
Funding
- NSF
- DMS-0901221
- NSF
- DMS-1007207
- NSF
- DMS-1201512
- NEC
- 2742738
- Fundação para a Ciência e a Tecnologia (FCT)
- PEst-OE/MAT/UI0297/2011
Dates
- Created
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2013-01-10Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department